In this paper, the relations between the notions of “wave move” (by Homma-Ochiai) and “frame” (by Tsukui) are investigated. A genus three frame of $S^3$ is produced, giving a counterexample to a conjecture of Tsukui; on the contrary, the conjecture is proved to be true in genus two.
Wave moves on crystallizations / Casali, Maria Rita; Grasselli, Luigi. - In: YOKOHAMA MATHEMATICAL JOURNAL. - ISSN 0044-0523. - STAMPA. - 38:(1990), pp. 1-11.
Wave moves on crystallizations
CASALI, Maria Rita;GRASSELLI, Luigi
1990
Abstract
In this paper, the relations between the notions of “wave move” (by Homma-Ochiai) and “frame” (by Tsukui) are investigated. A genus three frame of $S^3$ is produced, giving a counterexample to a conjecture of Tsukui; on the contrary, the conjecture is proved to be true in genus two.
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